Scheduling of Preventive Maintenance in Healthcare Buildings Using Markov Chain

González-Domínguez, Jaime; Sánchez-Barroso, Gonzalo; García-Sanz-Calcedo, Justo

doi:10.3390/app10155263

Cited by 16 publications

(6 citation statements)

References 35 publications

(36 reference statements)

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“…If the analyzed realizations of the process are included in the same phase of operation, then the course of the process should be homogenous. The probability values of the conditional interstate transitions are presented by means of the stochastic matrix P, according to the Formula (3) [33,37,38]:…”

Section: Markov Chainsmentioning

confidence: 99%

Analysis of Light Utility Vehicle Readiness in Military Transportation Systems Using Markov and Semi-Markov Processes

2022

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This paper presents the issues of modeling the operation process of light utility vehicles operating in military transport systems. The required condition for the effective operation of the system is to maintain the means of transport at the appropriate level of technical readiness. For this purpose, it is necessary to equip the technical system with appropriate resources enabling the efficient implementation of fuel refilling, maintenance and repair processes. Each failure of the means of transport causes a significant reduction in transport capacity, which then results in the inability to perform the planned tasks. Quality control and vehicle operation process management require advanced mathematical methods and tools. Three indicators have been proposed as quantitative characteristics for assessing and optimizing the availability of military vehicles: functional readiness, technical efficiency and airworthiness. To determine their value, a stochastic exploitation model was developed based on the application of the theory of Markov processes. Based on the collected empirical data, a nine-state phase space of the studied process was identified. Operating states were distinguished relating to the implementation of the transport task, refueling, parking in the garage, as well as maintenance and repairs. As part of the considerations for the continuous time, verification of the distributions of time characteristics led to the development of a semi-Markov model. The ergodic probabilities calculated based on the conditional probability matrix of interstate transitions and the expected values of the time spent in the states were used to determine the indicators of functional availability, efficiency and technical suitability. In order to determine the possibility of optimizing the process, a sensitivity analysis was performed. Reducing the amount of time the vehicles must wait for repair by about 50% can improve the values of the indexes from 0.91 to 0.95.

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Section: Markov Chainsmentioning

confidence: 99%

Analysis of Light Utility Vehicle Readiness in Military Transportation Systems Using Markov and Semi-Markov Processes

2022

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“…Many different sectors apply PM in their sector, for example; in the field of transportation; vehicles [6,7], aircraft [8,9], trains [10,11], and ships [12]. In the field of factories or stations [13][14][15][16][17][18], other sectors [19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Hybrid Genetic Algorithm and Tabu Search for Solving Preventive Maintenance Scheduling Problem for Cogeneration Plants

Alhamad,

Alkhezi

2024

Preprint

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Preventive Maintenance (PM) is a periodic maintenance strategy, which has great results for devices in extending their life, increasing productivity, and most importantly, help avoid unexpected breakdowns and their costly consequence. A preventive maintenance scheduling (PMS) is determining the time for carrying out PM, and it represents a sensitive issue in terms of impact on production if the time for the PM process is not optimally distributed. In this study, hybrid heuristic methods were used to solve the PMS problem, as genetic algorithm and Tabu research were adopted. The optimal solution was reached in a short time compared to previous studies in which optimal methods were used, integer programming and nonlinear integer programming. Also, sensitivity analysis was applied to measure the robustness and strength of the method used, where an optimal solution was obtained for all experiments and in record time. This method can be used for power plants in privet or public sectors, to generate an optimal PMS, to save money, and to avoid water or electricity cuts.

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“…Although the Markov chain has been applied to many types of engineering activities, there is still no relevant references reported on the application of this statistical model to plan and optimize the maintenance of the hull structure. This work proposed a method to arrange the preventive maintenance for the hull structure using the Markov chain, optimizing the cycle of the daily maintenance of the hull [19][20].…”

Section: Introductionmentioning

confidence: 99%

Study on the preventive maintenance of the cabin structure based on the markov chain

2022

IJFET

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In view of the complex structure and the different damage situations of the cabin, the Markov state transition model was established considering the crack propagation at the damaged sites. The state transition probability matrix of related crack propagation was constructed using the equation of linear elastic facture mechanics to simulate the deterioration process of the main structural parts during navigation. Secondly, the maintenance matrix was added to the state transition model, and the distribution probability of the system state was predicted by the periodicity of Markov chain, formulating a reasonable maintenance strategy. Finally, the practicability of the preventive maintenance strategy was verified taking the marine oil FPSO 116 as the example. The maintenance plan formulated according to the calculation results could reduce the damage of the hull theoretically, preventing the occurrence of unexpected deterioration states, prolonging the service life of the hull, and providing a strategic reference for the formulation of the maintenance plans of the hull.

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Scheduling of Preventive Maintenance in Healthcare Buildings Using Markov Chain

Cited by 16 publications

References 35 publications

Analysis of Light Utility Vehicle Readiness in Military Transportation Systems Using Markov and Semi-Markov Processes

Analysis of Light Utility Vehicle Readiness in Military Transportation Systems Using Markov and Semi-Markov Processes

Hybrid Genetic Algorithm and Tabu Search for Solving Preventive Maintenance Scheduling Problem for Cogeneration Plants

Study on the preventive maintenance of the cabin structure based on the markov chain

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